The determination of the Earth's gravitational field from GOCE
measurements is a exponentially ill-posed problem which requires
adequate methods of regularization. Multiscale Tikhonov regularization,
i.e. Tikhonov scaling functions and wavelets, has been suggested as a
means for the solution of the SGG-Problem e.g. by Freeden (1999). It has
already been successfully applied for CHAMP modeling by M. Fengler, W.
Freeden and J. Kusche (2003). However, the main question in Tikhonov
regularization is the choice of a suitable regularization parameter.
Our intention is to present some different numerical tests for known
methods for the choice of this parameter (such as L-curves, generalized
cross validation) to simulated GOCE data. Moreover, we introduce
techniques that have not yet been applied in GOCE modeling:
quasi-optimality criterion and GOCE specific strategies from Freeden,
Pereverzev (2000). All these different approaches are compared within a
multiscale concept that allows not only global, but also local modeling
of GOCE data.